Answer:
5 movies
Step-by-step explanation:
Let x denotes number of movies that need to be ready each month for the total fees to be the same from either company.
Monthly membership fee charged by a video store = $7.50
Amount charged to rent each movie = $1.00
So,
total amount charged by the first store = [tex]7.50+(1)x=7.50+x[/tex]
Monthly membership fee charged by another video store = $0
Amount charged to rent each movie = $2.50
So,
total amount charged by another store = [tex]0+2.50(x)=2.50x[/tex]
To find number of movies that need to be ready each month for the total fees to be the same from either company,
solve [tex]7.50+x=2.50x[/tex]
[tex]7.50+x=2.50x\\7.50=2.50x-x\\7.50=1.50x\\x=\frac{7.50}{1.50}\\ =5[/tex]
